`(1)/(1+2 omega)+(1)/(2+omega)-(1)/(1+omega)=0`

(1)/(2+omega)+(1)/(1+2 omega)=(1)/(1+omega)

(1)/(2+omega)+(1)/(1+2 omega)=(1)/(1+omega)

(1)/(1+2 omega)-(1)/(1+omega)+(1)/(2+omega)= 1. omega\*2. omega^(2) \* 3. a^(2)+b^(2) \*4. 0

If omega be a complex cube root of unity then the value of (1)/(1+2 omega)-(1)/(1+omega)+(1)/(2+omega) is

If w be an imaginary cube root of unity,show that :(1)/(1+2w)+(1)/(2+omega)-(1)/(1+omega)=0

If omega be an imaginary cube root of unity, show that: 1/(1+2omega)+ 1/(2+omega) - 1/(1+omega)=0 .

If omega_(1) is complex cube root of that (1)/(a+omega)+(1)/(b+omega)+(1)/(c+omega)=2 omega^(2) and (1)/(a+omega^(2))+(1)/(b+omega^(2))+(1)/(c+omega^(2))=2 omega then the value of (1)/(a+1)+(1)/(b+1)+(1)/(c+1)=

If omega_(1) is complex cube root of that (1)/(a+omega)+(1)/(b+omega)+(1)/(c+omega)=2 omega^(2) and (1)/(a+omega^(2))+(1)/(b+omega^(2))+(1)/(c+omega^(2))=2 omega then the value of (1)/(a+1)+(1)/(b+1)+(1)/(c+1)=

if omega!=1 is cube root of unity and x+y+z!=0(x)/(1+omega),(y)/(omega+omega^(2)),(z)/(omega^(2)+1)(y)/(omega+omega^(2)),(z)/(omega^(2)+1),(x)/(1+omega)(z)/(omega^(2)+1),(x)/(1+omega),(y)/(omega+omega^(2))]|=0 if